Friday

March 27, 2015

March 27, 2015

Posted by **anoynomous** on Friday, March 15, 2013 at 1:55pm.

area of parallelogram APQR=( 1/2)* area of triangle[ABC]

- maths-areas -
**Reiny**, Friday, March 15, 2013 at 2:09pmJoin PR

By the mid-point of triangle theorem,

PR is || to BC and PR = (1/2)BC

Also triange APR is similar to triange ABC

so the areas are proportional to the square of their sides.

since the sides are 1:2

their areas are 1:4

so triangle APR = (1/4) of triangle ABC

Similary BQP would be 1/4 of triangle ABC, and

RQC is 1/4 of triangle ABC, leaving the inside triangle PQR also as 1/4 of triangle ABC to get 4/4

so figure APQR = 2/4 or 1/2 of triangle ABC

- maths-areas -
**anoynomous**, Friday, March 15, 2013 at 2:22pmHow traingle ABC and APR are similar

- maths-areas -
**Reiny**, Friday, March 15, 2013 at 2:32pmSince BC and PR are similar

angle B = angle APR

and angle A is common

if 2 angles of a triangle are equal to 2 corresponding angles of another triangle, the triangles are similar.

Same argument for the other pairs of similar triangles.

**Answer this Question**

**Related Questions**

Geometry - D is the mid-point of side AB of the triangle ABC, E is mid-point of ...

math - Let P and Q be the points on the sides AB and BC of a triangle ABC ...

Math - In triangle ABC, D bisects side BC, G bisects side AB, and the points E ...

Math - In triangle ABC, D bisects side BC, G bisects side AB, and the points E ...

Math please help urgent - In triangle ABC, D bisects side BC, G bisects side AB...

Geometry - In parallelogram ABCD, P is mid-point of AB.CP and BD intersect each ...

geometry - i am lost on this one TAKE Three points K,L,M on sides BC,CA,AB of ...

HELP!!!!RIGHT NOW!!!! - Which set of side lengths shows similar triangles? (1 ...

geometry - Open that link please please help me with my assignments 1. in the ...

math - B . . . . . . . . . . . . . . C A Triangle ABC is right angled at A. The...